Quantitative Aptitude PYQs

If sin 2A = cos 15°, then the smallest positive value of A is:

The following table shows the percentage of students passing out of four colleges (A,B,C and D) over four years. Study the table and answer the question that follows.

In which college is the average percentage of passing students over the given four years the least?

A shopkeeper allows a discount of 15% on an article and still makes a profit of 20%. What does the shopkeeper pay for an article whose marked price is ₹7,200? 

If A + B = 90°, then the expression \(\frac{\cot A}{\cot B}\) + cos² A + cos² B is equal to:

The area of a sector of a circle of radius 8 cm, formed by an arc of length 4.6 cm, is _______.

In a ∆PQR and ∆ ABC, ∠P = ∠A and AC = PR. Which of the following conditions is true for triangle PQR and ABC to be congruent?

The price of a treadmill is marked at ₹1,250. A shopkeeper earns a profit of 14% after allowing a discount of 14% on the marked price. Find the cost price (to the nearest rupee) of the treadmill.

The area of an equilateral triangle is 4\(\sqrt{3}\) cm². Find the side (in cm) of the triangle.

The following table shows the earning of different firms (in Rs. crore) in different years.

The earning (in Rs. crore) of which firm was highest in the year 2015 ?

Study the given table and answer the question that follows. The table shows the consumption of food grains per day (in grams) in the given set of following years

For which food grain consumption was there successive increase over the given set of years?

The curved surface area (CSA) and the total surface area (TSA) of a hemisphere whose radius is 7 cm are: 

In an election between P and Q, P gets 40% of the total votes and thus loses by 10 votes. The total number of votes is:

Ramesh does half as much work as Parul in 4/5 of the time. If together Ramesh and Parul take 24 days to complete the work, then how much time will Parul take to do it?

The area of an equilateral triangle is 173.2 cm² . Its side will be _______.

If sin θ + cos θ =\(\frac{\sqrt{11}}{3}\) , then the value of (cos θ  –  sin θ) is:

The LCM of two prime numbers x and y (x > y) is 533. The value of 4y - x is:

Find the third proportional to 16 and 20. 

Ramesh borrowed some money at rate of 5% per annum for the first four years, 8% per annum for the next six years, and 12% per annum for the period beyond ten years. If the total interest paid by him at the end of twelve years is ₹9,016, then find the money borrowed by Ramesh.

Study the given table and answer the question that follows. The table shows the number of employees in five different organisations A, B, C, D and E in different departments.

Which organisation has minimum number of employees?

Mayur sold a watch at a profit of 7%. If he had sold it for ₹1,329 more, he would have gained 57%. Find the cost price (in ₹) of the watch.